integral from 2 to 4 of 1/(|x-3|^{1/2)}

Lösung

\int_{2}^{4} \frac{1}{∣ x - 3 ∣ ^{\frac{1}{2}}} d x

4

Schritte zur Lösung

\int_{2}^{4} \frac{1}{∣ x - 3 ∣ ^{\frac{1}{2}}} d x

Entferne die Extremwerte

= \int_{2}^{3} \frac{1}{( - x + 3 ) ^{\frac{1}{2}}} d x + \int_{3}^{4} \frac{1}{( x - 3 ) ^{\frac{1}{2}}} d x

\int_{2}^{3} \frac{1}{( - x + 3 ) ^{\frac{1}{2}}} d x = 2

\int_{3}^{4} \frac{1}{( x - 3 ) ^{\frac{1}{2}}} d x = 2

= 2 + 2

Vereinfache

= 4

t an g e n t f (x) = x^{2} + x, at x = - 4, - 1

\int - \frac{2}{y} d y

\int_{2}^{5} \frac{4}{9 + ( x - 2 ) ^{2}} d x

d er i v a t i v e f (x) = ln (169 sin^{2} (x))

\int e^{t a n (8 x)} sec^{2} (8 x) d x